Linear Moment Partial Differential Equations

Introduced in the 2010 article (Funkcial Ekvac 53:411–434, 2010) by W. Balser and M. Yoshino in order to present a new tool to study the classical partial differential equations, the moment partial differential equations define actually a new and wide class of functional equations which covers a large number of classical equations: of course the classical partial differential equations, but also the fractional partial differential equations, the q-difference equations, etc. Naturally well-suited to applying the moment-summability method, these equations extend the range of applications of the summability theory, and also offer a wide field of investigation for developing new calculation techniques, as well as new theoretical tools.